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Finding the Fourth Proportional to 1,854.80, 2,782.15 and 468.18

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Solution

The fourth proportional to 1,854.80, 2,782.15 and 468.18 is: 702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.80 : 2,782.15 = 468.18 : x
  2. Step 2: Convert to fraction form
    1,854.80/2,782.15 = 468.18/x
  3. Step 3: Cross multiply
    1,854.80x = 2,782.15 × 468.18
  4. Step 4: Simplify right side
    1,854.80x = 1,302,545.82
  5. Step 5: Solve for x
    x = 1,302,545.82/1,854.80
  6. Step 6: Final answer
    x = 702.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.